23 citations · 101 across the 22 of their papers we have counts for
4 papers · 1 filter
Betti numbers of configuration spaces of surfaces
Gabriel C. Drummond-Cole, Ben Knudsen
We give explicit formulas for the Betti numbers, both stable and unstable, of the unordered configuration spaces of an arbitrary surface of finite type.
Homotopy probability theory on a Riemannian manifold and the Euler equation
Gabriel C. Drummond-Cole, John Terilla
Homotopy probability theory is a version of probability theory in which the vector space of random variables is replaced with a chain complex. A natural example extends ordinary pr…
An operadic approach to operator-valued free cumulants
Gabriel C. Drummond-Cole
An operadic framework is developed to explain the inversion formula relating moments and cumulants in operator-valued free probability theory.
A non-crossing word cooperad for free homotopy probability theory
Gabriel C. Drummond-Cole
We construct a cooperad which extends the framework of homotopy probability theory to free probability theory. The cooperad constructed, which seems related to the sequence and cac…